Five ships of the Royal Navy have been called HMS Inflexible.
HMS Inflexible (1776) was a 280-ton sloop-of-war launched in 1776. HMS Inflexible was disassembled at Quebec City and transported upriver in pieces and reassembled and commissioned 1776 at Saint-Jean on the upper Richelieu River upon a request of General Carleton. She carried eighteen 12-pounders. She fought at the battle of Battle of Valcour Island in 1776 under the command of John Schank. Her fate is unknown.